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Give the state of the disjoint-sets data structure after the following sequence of operations, starting from singleton sets{1},....,{8}. use the path compression, in case of ties, always make the lower numbered root point to the higher numbered one. union(1,2),union(3,4),union (5,6),union (7,8),union(1,4),union(6,7),union(4,5)find(1)

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